# Linear Algebra - Row Space of a matrix

### Table of Contents

## About

## Articles Related

## Theorem

### Echelon

If a matrix is in echelon form, the nonzero rows form a basis for the row space.

### Row-addition

Applying elementary row-addition operations does not change the row space.

## How to

### find a basis

To find basis for row space of a matrix A, iteratively transform A into a matrix B

- in echelon form
- with no zero rows
- whose row space is the same as that of A.

See Gaussian elimination - Finding a basis for the computation